Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570p |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
513785462784000 = 232 · 3 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24338,-974812] |
[a1,a2,a3,a4,a6] |
Generators |
[10218:174080:27] |
Generators of the group modulo torsion |
j |
1594236400645224601/513785462784000 |
j-invariant |
L |
4.26917126351 |
L(r)(E,1)/r! |
Ω |
0.39200675132381 |
Real period |
R |
7.2603703024553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560bn1 28710bb1 47850cb1 105270cg1 |
Quadratic twists by: -4 -3 5 -11 |